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Beliebt Rechnen >

y^{''}+3y^'-2y=2(e^{3x})

Lösung

y^{^{''}} + 3 y^{^{'}} - 2 y = 2 (e^{3 x})

Lösung

y = c_{1} e^{\frac{( - 3 + 17 ) x}{2}} + c_{2} e^{\frac{( - 3 - 17 ) x}{2}} + \frac{1}{8} e^{3 x}

Schritte zur Lösung

y^{''} (x) + 3 y^{'} (x) - 2 y = 2 (e^{3 x})

Solve linear ODE:

y = c_{1} e^{\frac{( - 3 + 17 ) x}{2}} + c_{2} e^{\frac{( - 3 - 17 ) x}{2}} + \frac{1}{8} e^{3 x}

y = c_{1} e^{\frac{( - 3 + 17 ) x}{2}} + c_{2} e^{\frac{( - 3 - 17 ) x}{2}} + \frac{1}{8} e^{3 x}

Graph

Beliebte Beispiele

((d^2+120d+1)/(10))y=12

(\frac{d ^{2} + 120 d + 1}{10}) y = 12

y^{''}-2y^'+y=x^{-1/2}e^x

y^{^{''}} - 2 y^{^{'}} + y = x^{- \frac{1}{2}} e^{x}

1000-0.017y^'=100y^{''}

1000 - 0.017 y^{^{'}} = 100 y^{^{''}}

y^{''}-4y=2x^{-1}e^{3x}

y^{^{''}} - 4 y = 2 x^{- 1} e^{3 x}

x^{''}-3x^'=8sin(t)

x^{^{''}} - 3 x^{^{'}} = 8 sin (t)